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A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations

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摘要 For two-dimensional(2D)time fractional diffusion equations,we construct a numerical method based on a local discontinuous Galerkin(LDG)method in space and a finite differ-ence scheme in time.We investigate the numerical stability and convergence of the method for both rectangular and triangular meshes and show that the method is unconditionally stable.Numerical results indicate the effectiveness and accuracy of the method and con-firm the analysis.
出处 《Communications on Applied Mathematics and Computation》 2020年第4期689-709,共21页 应用数学与计算数学学报(英文)
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